SOLUTION: Cards numbered 1 to 50 are put in a hat. What is the probability that the first two cards chosen at random have prime numbers on them? I'm so confused I know you start off the

Algebra.Com
Question 917991: Cards numbered 1 to 50 are put in a hat. What is the probability that the first two cards chosen at random have prime numbers on them?
I'm so confused I know you start off the problem with 16/50 but I don't know what you multiply that by...

Answer by Hawksfan(61)   (Show Source): You can put this solution on YOUR website!
If you pick out all the prime numbers from 1 to 50, there are 16 of them.
#primes/total number
first card 16/50

second card (16-1)/(50-1)= 15/49

now multiply the two fractions 16/50 * 15/49 = 240/2450= 24/245



RELATED QUESTIONS

The numbers 1 to 200 (inclusive) are put into a hat. What is the probability that the... (answered by Mathtut)
a deck of 20 cards is numbered 1 through 20 if two cards are selected at random without... (answered by jim_thompson5910)
two cards are drawn from a set of ten cards numbered from one to ten, without replacing... (answered by solver91311)
One deck of cards consists of six cards numbered 1 through 6, and a second deck consists (answered by Fombitz)
The game of Fizzbin is played with a deck of 30 cards. There are three colors (red,... (answered by stanbon)
Suppose two cards are selected at random from a deck of 52 cards what is the probability... (answered by FrankM)
In a large city, 37% of all restaurants accept both master and visa credit cards, and 50% (answered by ikleyn)
Two cards are chosen at random from a pack of 52 playing cards. What is the... (answered by Fombitz)
Two cards are chosen at random from a pack of 52 playing cards. What is the probability... (answered by Theo)